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M is the midpoint of AB. If A (0,4) and M (2,5) find the coordinates of B

1 Answer

3 votes

Answer:

(4,6)

Explanation:

1. Midpoint formula:


  • (x_m,y_m)=((x_1+x_2)/(2), (y_1+y_2)/(2) )

2. Find
x_2:


  • x_m=(x_1+x_2)/(2)

  • 2=(0+x_2)/(2)

  • x_2=4

3. Find
y_2:


  • y_m=(y_1+y_2)/(2)

  • 5=(4+y_2)/(2)

  • y_2=6

4. Coordinates of B:


  • (x_2, y_2)=(4,6)
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